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Simplifying 5[-5(2x + 4) + 5(5x + -5)] = 0 Reorder the terms: 5[-5(4 + 2x) + 5(5x + -5)] = 0 5[(4 * -5 + 2x * -5) + 5(5x + -5)] = 0 5[(-20 + -10x) + 5(5x + -5)] = 0 Reorder the terms: 5[-20 + -10x + 5(-5 + 5x)] = 0 5[-20 + -10x + (-5 * 5 + 5x * 5)] = 0 5[-20 + -10x + (-25 + 25x)] = 0 Reorder the terms: 5[-20 + -25 + -10x + 25x] = 0 Combine like terms: -20 + -25 = -45 5[-45 + -10x + 25x] = 0 Combine like terms: -10x + 25x = 15x 5[-45 + 15x] = 0 [-45 * 5 + 15x * 5] = 0 [-225 + 75x] = 0 Solving -225 + 75x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '225' to each side of the equation. -225 + 225 + 75x = 0 + 225 Combine like terms: -225 + 225 = 0 0 + 75x = 0 + 225 75x = 0 + 225 Combine like terms: 0 + 225 = 225 75x = 225 Divide each side by '75'. x = 3 Simplifying x = 3
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